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Solved: In 31–34 verify that the given two-parameter
Chapter 4, Problem 32E(choose chapter or problem)
In Problems 31–34 verify that the given two-parameter family of functions is the general solution of the nonhomogeneous differential equation on the indicated interval.
\(y^{\prime \prime}+y=\sec x\)
\(y=c_{1} \cos x+c_{2} \sin x+x \sin x+(\cos x) \ln (\cos x)\), \((-\pi / 2, \pi / 2)\)
Text Transcription:
y^{\prime \prime}+y=\sec x
y=c_{1} \cos x+c_{2} \sin x+x \sin x+(\cos x) \ln (\cos x) \\
(-\pi / 2, \pi / 2)
Questions & Answers
QUESTION:
In Problems 31–34 verify that the given two-parameter family of functions is the general solution of the nonhomogeneous differential equation on the indicated interval.
\(y^{\prime \prime}+y=\sec x\)
\(y=c_{1} \cos x+c_{2} \sin x+x \sin x+(\cos x) \ln (\cos x)\), \((-\pi / 2, \pi / 2)\)
Text Transcription:
y^{\prime \prime}+y=\sec x
y=c_{1} \cos x+c_{2} \sin x+x \sin x+(\cos x) \ln (\cos x) \\
(-\pi / 2, \pi / 2)
ANSWER:Step 1 of 4
Here we have to verify the following given two parameter family of functions
is the general solution of nonhomogeneous differential equation on the given interval